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olga2289 [7]
3 years ago
11

A rectangle has a height of b3 + b2 and a width of b2 + 76 + 4.

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

The area is:

{b}^{5}  + 8 {b}^{4}  + 11 {b}^{3} +  4 {b}^{2}

Step-by-step explanation:

To find the area of a rectangle, multiply the width by the height (I'll be using x for b, as it is easier when writing the equations):

a =  ({x}^{ 3}  +  {x}^{2} )( {x}^{2}  + 7x + 4) \\ a =  {x}^{5}  +  7{x}^{4}  + 4 {x}^{3}   \\ +  {x}^{4}   + 7 {x}^{3}  + 4 {x}^{2}  \\ a =  {x}^{5}  + 8 {x}^{4}  + 11 {x}^{3} +  4 {x}^{2}

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ohaa [14]

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

Start by adding 5 to both sides:

4x - 5 + 5 > 7 + 5

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Divide both sides by 4:

4x/4 > 12/4

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The solution can also be expressed in the following interval notation:

(3, ∞).

In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.  

5 0
2 years ago
50 points find the area
mixer [17]

Answer:

  • B. 84 in²

Step-by-step explanation:

Split the area into two sections by extending 6 in segment.

We get a rectangle of 5 in x 10 in and a trapezoid.

<u>Rectangle:</u>

  • A = wl
  • A = 5*10 = 50 in²

<u>Trapezoid:</u>

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  • A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²

<u>Total area:</u>

  • 50 + 34 = 84 in²
4 0
2 years ago
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Alborosie

Answer:

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Step-by-step explanation:

Plug in 5 and 9 separately for the equation of the x values.  Multiply them each and add 7 to get these values 22 and 34.

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